The Hamilton-Jacobi Formalism for Higher Order Field Theories

We extend the geometric Hamilton-Jacobi formalism for hamiltonian mechanics to higher order field theories with regular lagrangian density. We also investigate the dependence of the formalism on the lagrangian density in the class of those yelding the same Euler-Lagrange equations.Comment: 25 page

On Higher Derivatives as Constraints in Field Theory: a Geometric Perspective

We formalize geometrically the idea that the (de Donder) Hamiltonian formulation of a higher derivative Lagrangian field theory can be constructed understanding the latter as a first derivative theory subjected to constraints.Comment: 7 page

THE ROLE OF SIGNALING MOLECULES IN THE DEVELOPMENT OF CHEILITIS CAUSED BY UV IRRADIATION AND SEBORRHEIC ECZEMA

The subject of the study is the establishment of the role of signaling molecules in the development of cheilitis in patients after sensitizing effects on the skin of the red border of the lips of various factors. For this purpose, blood levels of substance P, histamine, tumor necrosis factor-alpha (TNFα) in patients with actinic cheilitis and cheilitis developed against seborrheic eczema were studied. The reliability of the results of clinical and laboratory studies was established by methods of modern statistical processing. It was found that the development of clinical manifestations of lesions of the red border of the lips with sensitizing effects (UV rays and seborrheic process) is reliably associated with a synergistic increase in blood levels of signal molecules of different classes (not opioid neuropeptide, biogenic amine, pro-inflammatory cytokine). The obtained results substantiate new approaches to drawing up plans for examination, treatment and prevention of patients with development of cheilitis after sensitizing effects of UV rays and against seborrheic eczema.Key words: cheilitis (actinic and against the background of seborrheic eczema), signaling molecules (substance P, histamine, TNFα).кандидат медицинских наук, Бочарова В.В., доктор медицинских наук, профессор, Лебедюк М.Н., *доктор медицинских наук, профессор, Бочаров В.А., **доктор медицинских наук, доцент, Куц Л.В. Роль сигнальных молекул в развитии хейлитов, вызванных уф-облучением и себорейной экземой/ Одесский национальный медицинский университет, Украина, Одесса; *Медицинский институт Международного гуманитарного университета, Украина, Одесса; **Медицинский институт Сумского государственного университета, Украина, СумыПредметом исследования является установление роли сигнальных молекул в развитии хейлитов у больных после сенсибилизирующих воздействий на кожу красной каймы губ различных факторов. С этой целью были изучены уровни содержания в крови субстанции Р, гистамина, фактора некроза опухоли-альфа (TNFα) у больных с актиническим хейлитом и хейлитом, развившемся на фоне себорейной экземы. Достоверность результатов клинических и лабораторных исследований устанавливалась методами современной статистической обработки. Выявлено, что развитие клинических проявлений поражения красной каймы губ при сенсибилизирующих воздействиях (УФ-лучей и при себорейном процессе) достоверно связано с синергичным повышением уровней в крови сигнальных молекул разных классов (неопиоидного нейропептида, биогенного амина, провоспалительного цитокина). Полученные результаты обосновывают новые подходы к составлению планов обследования, лечения и профилактики больных с развитием хейлитов после сенсибилизирующих воздействий УФ-лучей и на фоне себорейной экземы.Ключевые слова: хейлиты (актинический и на фоне себорейной экземы), сигнальные молекулы (субстанция Р, гистамин, TNFα).

Environmental Resource - Economized Processes of Recycling Mineral Raw Materials of Complex Composition

The results of the studies on the justification of technological processes providing recycling of the warehoused ferruginous quartzites of complex composition and waste non-ferrous metals allowing to receive additional commodity products are given. The example of amphibole and biotite varieties of ferruginous quartzites of CMA and tailings of copper-zinc sulphide Ural ores determines the reasons of ineffective use of traditional technology solutions for recycling. The reasons of environmental hazards concerning varieties of technogenic mineral substances to the environment are identified. The presence in ferruginous quartzites complex composition of various silicates, carbonates and iron sulphides change their technological properties. So to get the iron concentrate from them suggests a new combination of technological operations performed in specially selected operating conditions. The specifics of the presence of mineral components in solid mineral wastes of nonferrous metal ores indicates the possibility of obtaining additional marketable products. With the use of laboratory multiscale modelling and physical methods of analysis regularities of variation of fractionation, separation and mineral concentration operations efficiency by varying its composition and the various influencing factors are identified. To improve the efficiency of the individual technological operations it is recommended to use different techniques, using physical and physico-chemical effects on the polymineral systems. The flow diagrams for the considered varieties of technogenic processing of mineral substances, allowing them to obtain standared quality products (metal-containing concentrates), and the results of their testing are submitted. The suggested technological solutions can reduce the amount of environmentally hazardous mineral substance, hosted in technogenic formations

AGING OF THE SKIN (TO HELP PRACTICING PHYSICIANS: PART 1)

The research focuses on skin aging. The objective of work is to provide information about common mechanisms of impact on aging process to practicing dermatocosmetologists. There are also provided materials of main structural and functional changes at aging on cellular, tissular, organ and body-wide levels, and also processes of their genetic control. Attention is directed to importance of taking into account these aspects in present-day production of cosmetic care products.Key words: aging, life expectancy, structural and functional changes of different levels of life activity.1К. В. Коляденко, кандидат медицинских наук, доцент; 2М. Н. Лебедюк, доктор медицинских наук, профессор; 3В. А. Бочаров, доктор медицинских наук, профессор. Старение кожи (в помощь практическому врачу: часть 1) / 1Национальный медицинский университет имени А. А. Богомольца, Украина, Киев; 2Одесский национальный медицинский университет, Украина, Одесса; 3Medical Center «ORTO-DENT/BIO-DERM», Украина, ОдессаПредмет исследования – старение кожи. Цель работы – предоставление информации практикующим дерматокосметологам об общих механизмах влияния на процесс старения. Приводятся материалы основных структурных и функциональных изменений при старении на клеточном, тканевом, органном и общеорганизменном уровнях, а так же процессы их генетического контроля. Обращается внимание на значении учета этих аспектов в современном производстве средств косметологического ухода.Ключевые слова: старение, продолжительность жизни, структурные и функциональные изменения разных уровней жизнедеятельности

Hierarchy of Conservation Laws of Diffusion--Convection Equations

We introduce notions of equivalence of conservation laws with respect to Lie symmetry groups for fixed systems of differential equations and with respect to equivalence groups or sets of admissible transformations for classes of such systems. We also revise the notion of linear dependence of conservation laws and define the notion of local dependence of potentials. To construct conservation laws, we develop and apply the most direct method which is effective to use in the case of two independent variables. Admitting possibility of dependence of conserved vectors on a number of potentials, we generalize the iteration procedure proposed by Bluman and Doran-Wu for finding nonlocal (potential) conservation laws. As an example, we completely classify potential conservation laws (including arbitrary order local ones) of diffusion--convection equations with respect to the equivalence group and construct an exhaustive list of locally inequivalent potential systems corresponding to these equations.Comment: 24 page

Effect of Cultural Priming on Social Behavior and EEG Correlates of Self-Processing

Humans are social beings and the self is inevitably conceptualized in terms of social environment. The degree to which the self is perceived as fundamentally similar or fundamentally different from other people is modulated by cultural stereotypes, such as collectivism and individualism. These stereotypes are not hardwired in our brains and individuals differ in the degree to which they adopt the attitudes that define their culture. Moreover, individuals can acquire multiple sets of cultural knowledge and, depending on the context, either individualistic or collectivistic cultural mindset could be activated. In this study, we used cultural priming techniques to activate either individualistic or collectivistic mindset and investigated the association between source-level EEG connectivity in the default mode network (DMN) and spontaneous self-related thoughts in the subsequent resting state. Afterward, participants performed a social interaction task, in which they were allowed to choose between friendly, avoidant, or aggressive behavior. After collectivism priming, self-related thoughts were associated with increased connectivity of DMN with the right temporoparietal junction (TPJ), which is involved in taking the perspective of others and is more active in representatives of collectivistic cultures, whereas after individualism priming they were associated with increased connectivity with the temporal pole, which is involved in self/other discrimination and is more active in representatives of individualistic cultures. Individual differences in the intensity of post-priming self-related thoughts and the strength of DMN-temporal pole connectivity predicted individual differences in behavior during the social interaction task, with individualistic mindset predisposing to more friendly and trustful social behavior

Erratum to: Methods of Electron Microdiffraction and X-Ray Analysis in Structure Study of Nanodisperse Partially Stabilized ZrO2 Powders

Analytical electron microscopy (AEM) has been used to study both structure and morphology of partially yttria-stabilized zirconia dioxide nanopowders (YSZ) obtained by wet-chemical methods (glycine and azeotropic distillation) and ceramics produced from them. Both morphological and structural inhomogeneity of nanopowders obtained by glycine (glc) method has been estimated. Besides the tetragonal ZrO2 phase (results of X-ray analyses) the cubic phase of ZrO2 with different degree of crystallinity has been estimated by Electron Microdiffraction (EMD) methods. In powders obtained by azeotropic distillation (dest) method besides the amorphous phase (identified in X-ray investigations) the high disperse cubic zirconia phase has been identified using high local EMD method. It has been detected the yttrium influence on the degree of crystallinity in nanopowders obtained by azeotropic distillation method without yttria (dest-0YSZ) and with 5 wt % Y2O3 (dest-5YSZ). It has been determined the difference in ceramic morphology produced from these powders. Ceramics mode of nanopowders containing yttria (glc-5YSZ and dest-5YSZ) have a homogeneous surface which consists of different size globules (0.1–0.6 μm) and contains some little pores (∼370 nm). Ceramics mode of nanopowders without yttria have inhomogeneous surface with numerous cracks. Separate parts of the latter ceramics consist of globules, their sizes are of 0.2–0.5 μm.Institute of Solid State Physics, University of Latvia as the Center of Excellence has received funding from the European Union’s Horizon 2020 Framework Programme H2020-WIDESPREAD-01-2016-2017-TeamingPhase2 under grant agreement No. 739508, project CAMART

Conservation laws for multidimensional systems and related linear algebra problems

We consider multidimensional systems of PDEs of generalized evolution form with t-derivatives of arbitrary order on the left-hand side and with the right-hand side dependent on lower order t-derivatives and arbitrary space derivatives. For such systems we find an explicit necessary condition for existence of higher conservation laws in terms of the system's symbol. For systems that violate this condition we give an effective upper bound on the order of conservation laws. Using this result, we completely describe conservation laws for viscous transonic equations, for the Brusselator model, and the Belousov-Zhabotinskii system. To achieve this, we solve over an arbitrary field the matrix equations SA=A^tS and SA=-A^tS for a quadratic matrix A and its transpose A^t, which may be of independent interest.Comment: 12 pages; proof of Theorem 1 clarified; misprints correcte